On the semi-absoluteness of isomorphisms between the pro-\(p\) arithmetic fundamental groups of smooth varieties

DOI10.4171/prims/59-3-3OpenAlexW4387484913MaRDI QIDQ6081845

Shota Tsujimura

Publication date: 26 October 2023

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/59-3-3

zbMATH Keywords

configuration space\(p\)-adic local fieldhyperbolic curveanabelian geometryétale fundamental grouppro-\(p\) Grothendieck conjecturesemi-absolute

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Coverings of curves, fundamental group (14H30)

Cites Work

• The absolute anabelian geometry of quasi-tripods
• The algebraic and anabelian geometry of configuration spaces
• Cohomology of the geometric fundamental group of hyperbolic polycurves
• The local pro-p anabelian geometry of curves
• On the geometric subgroups of the étale fundamental groups of varieties over real closed fields
• Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups
• The semi-absolute anabelian geometry of geometrically pro-\(p\) arithmetic fundamental groups of associated low-dimensional configuration spaces
• Resolution of singularities of an algebraic variety over a field of characteristic zero. II
• Good reduction of abelian varieties
• The irreducibility of the space of curves of a given genus
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields
• Rigid Geometry of Curves and Their Jacobians
• Field Arithmetic
• A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
• Extending families of curves over log regular schemes
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